Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285l |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-121137305356546875 = -1 · 32 · 56 · 11 · 238 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64020,-17895168] |
[a1,a2,a3,a4,a6] |
Generators |
[772:-20224:1] |
Generators of the group modulo torsion |
j |
-196021690129/818296875 |
j-invariant |
L |
1.699803676944 |
L(r)(E,1)/r! |
Ω |
0.1366657725232 |
Real period |
R |
1.0364724345774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795b2 |
Quadratic twists by: -23 |